78130809600 has 216 divisors, whose sum is σ = 258691640592. Its totient is φ = 20766720000.

The previous prime is 78130809577. The next prime is 78130809613. The reversal of 78130809600 is 690803187.

It is a super-2 number, since 2×78130809600² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6003100 + ... + 6016100.

Almost surely, 2^78130809600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78130809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129345820296).

78130809600 is an abundant number, since it is smaller than the sum of its proper divisors (180560830992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78130809600 is a wasteful number, since it uses less digits than its factorization.

78130809600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13343 (or 13324 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 78130809600 in words is "seventy-eight billion, one hundred thirty million, eight hundred nine thousand, six hundred".